Division of fractions

Front

What is the process for dividing fractions?

Back

To divide fractions, multiply the first fraction by the reciprocal of the second fraction. For example, to divide a/b by c/d, calculate (a/b) * (d/c).

Front

What is the reciprocal of a fraction?

Back

The reciprocal of a fraction is obtained by flipping the numerator and denominator. For example, the reciprocal of 3/4 is 4/3.

Front

How do you convert a whole number into a fraction?

Back

To convert a whole number into a fraction, place the whole number over 1. For example, the whole number 4 can be written as 4/1.

Front

What is the result of dividing a fraction by a whole number?

Back

To divide a fraction by a whole number, multiply the denominator of the fraction by that whole number. For example, 3/4 ÷ 2 = 3/(4*2) = 3/8.

Front

What is the result of dividing a fraction by another fraction?

Back

To divide a fraction by another fraction, multiply the first fraction by the reciprocal of the second fraction. For example, (1/2) ÷ (3/4) = (1/2) * (4/3) = 4/6 = 2/3.

Front

What is the importance of simplifying fractions?

Back

Simplifying fractions makes them easier to understand and work with. It helps in finding equivalent fractions and in performing operations like addition, subtraction, multiplication, and division.

Front

What does it mean to simplify a fraction?

Back

To simplify a fraction means to reduce it to its lowest terms, where the numerator and denominator have no common factors other than 1.

Front

How do you find a common denominator when dividing fractions?

Back

When dividing fractions, you do not need a common denominator. However, if you are adding or subtracting fractions, you must find a common denominator.

Front

What is an example of dividing mixed numbers?

Back

To divide mixed numbers, convert them to improper fractions first. For example, to divide 2 1/2 by 1 1/3, convert to improper fractions: (5/2) ÷ (4/3) = (5/2) * (3/4) = 15/8.

Front

What is the relationship between division and multiplication in fractions?

Back

Division of fractions is the same as multiplying by the reciprocal. For example, a/b ÷ c/d = a/b * d/c.